Net Spaces and Boundedness of Integral Operators

被引：33
|
作者：
Nursultanov, Erlan [3 ]
Tikhonov, Sergey [1 ,2 ]
机构：
[1] ICREA, Bellaterra 08193, Barcelona, Spain
[2] Ctr Recerca Matemat, Bellaterra 08193, Barcelona, Spain
[3] Gumilyov Eurasian Natl Univ, Astana 010010, Kazakhstan
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2011年 / 21卷 / 04期
关键词：
Net spaces; Lorentz spaces; Integral operators; Strong-type and weak-type boundedness; Convolution; WEIGHTED NORM INEQUALITIES; CONVOLUTION OPERATORS; TRANSFORM;
D O I：
10.1007/s12220-010-9175-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce new functional spaces which we call net spaces. Using their properties, necessary and sufficient conditions for the integral operators to be of strong or weak type are obtained. Estimates of the norm of the convolution operator in weighted Lebesgue spaces are presented.
引用
收藏
页码：950 / 981
页数：32
相关论文
共 50 条
12345